{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3a6cd027-b422-4147-9d26-b9f4cf9179a8",
   "metadata": {},
   "source": [
    "Chapter 04\n",
    "# 经验累积分布函数\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "faf890c6-5482-4a1a-9d6c-f60575ede6b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import pandas as pd  \n",
    "import seaborn as sns \n",
    "from sklearn.datasets import load_iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a2c2747c-5a39-4950-bc09-7b77dcb18c4d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the iris data\n",
    "iris_sns = sns.load_dataset(\"iris\") \n",
    "# A copy from Seaborn\n",
    "iris = load_iris()\n",
    "# A copy from Sklearn\n",
    "\n",
    "X = iris.data\n",
    "y = iris.target\n",
    "\n",
    "feature_names = ['Sepal length, $X_1$','Sepal width, $X_2$',\n",
    "                 'Petal length, $X_3$','Petal width, $X_4$']\n",
    "\n",
    "# Convert X array to dataframe\n",
    "X_df = pd.DataFrame(X, columns=feature_names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e2d5e87a-1095-4fce-94a9-e4dee7fbb195",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Histograms PDF\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "\n",
    "sns.histplot(data=X_df, palette = \"viridis\",fill = True,\n",
    "             binwidth = 0.15,element=\"step\",stat=\"density\",\n",
    "             cumulative=False, common_norm=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "48a1d17a-ee39-4522-b9bd-ae051a9dccea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Proportion'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% CDF plot\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "sns.histplot(data=X_df, palette = \"viridis\",fill = False,\n",
    "             binwidth = 0.15,element=\"step\",stat=\"density\",\n",
    "             cumulative=True, common_norm=False)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "sns.ecdfplot(data=X_df, palette = \"viridis\")\n",
    "\n",
    "#%% convert data to emperical CDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "129b708a-1725-4ef6-8696-7332250867c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import QuantileTransformer\n",
    "\n",
    "qt = QuantileTransformer(n_quantiles=len(X_df), \n",
    "                         random_state=0)\n",
    "ecdf = qt.fit_transform(X_df)\n",
    "ecdf_df = pd.DataFrame(ecdf, \n",
    "                       columns = X_df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c9cc49fd-186f-4b88-983b-9ef5e017a760",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x2107088fa60>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.jointplot(data=ecdf_df, x=feature_names[0], \n",
    "                  y=feature_names[1],\n",
    "                  xlim = [0,1],ylim = [0,1])\n",
    "g.plot_joint(sns.kdeplot, cmap=\"Blues_r\", zorder=0, \n",
    "             levels=10, fill = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "09a20906-e9db-49a4-9e86-4f9c8c914529",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x2107064eb90>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Pairplot of the emperical data\n",
    "\n",
    "# with no class labels\n",
    "g = sns.pairplot(ecdf_df)\n",
    "g.map_upper(sns.scatterplot, color = 'b')\n",
    "g.map_lower(sns.kdeplot, levels=8, fill=True, cmap=\"Blues_r\") \n",
    "g.map_diag(sns.histplot, kde=False, color = 'b')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
